123313103122113 has 12 divisors (see below), whose sum is σ = 178166286240228. Its totient is φ = 82186877180160.

The previous prime is 123313103122061. The next prime is 123313103122133. The reversal of 123313103122113 is 311221301313321.

123313103122113 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 1 + 310 + 312 + 21 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37020020710464 + 86293082411649 = 6084408^2 + 9289407^2 .

It is not a de Polignac number, because 123313103122113 - 2¹⁴ = 123313103105729 is a prime.

It is a super-2 number, since 2×123313103122113² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123313103122133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1821483820 + ... + 1821551517.

It is an arithmetic number, because the mean of its divisors is an integer number (14847190520019).

Almost surely, 2^{123313103122113} is an apocalyptic number.

It is an amenable number.

123313103122113 is a deficient number, since it is larger than the sum of its proper divisors (54853183118115).

123313103122113 is a wasteful number, since it uses less digits than its factorization.

123313103122113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643039104 (or 3643039101 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 123313103122113 its reverse (311221301313321), we get a palindrome (434534404435434).

The spelling of 123313103122113 in words is "one hundred twenty-three trillion, three hundred thirteen billion, one hundred three million, one hundred twenty-two thousand, one hundred thirteen".